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Let T be a linear transformation from R³ into R³. Find T-1 T(x1,x2₁x3)=(2x₁-X3, X₁ + X₂ X3, X2-3x3) a. T(X1,×2,X3)==—(2×₁+X₂−X3, −3x₁+6x₂−X3, −X₁+2x₂−2x3) b. T(x₁,x₂,X3) = (2x₁+x₂-2X3, X₂-X3, -X₁ + X3) c. T(X₁,×2₁X3)=(2×₁+X₂−2×3, X₂−X3, −X₁ +×3) d. T(x₁,x₂,×3)=(4×₁-2×₂-X3, X₁-X₂₁ −3×₁+2×₂ +X3) e. T(X₁,X2₁X3)= (-X₁+3x₂+3x3, −3x₁-x₂+4x3,2x₁-x₂ −X3)

Let T be a linear transformation from R³ into R³. Find T-1 T(x1,x2₁x3)=(2x₁-X3, X₁ + X₂ X3, X2-3x3) a. T(X1,×2,X3)==—(2×₁+X₂−X3, −3x₁+6x₂−X3, −X₁+2x₂−2x3) b. T(x₁,x₂,X3) = (2x₁+x₂-2X3, X₂-X3, -X₁ + X3) c. T(X₁,×2₁X3)=(2×₁+X₂−2×3, X₂−X3, −X₁ +×3) d. T(x₁,x₂,×3)=(4×₁-2×₂-X3, X₁-X₂₁ −3×₁+2×₂ +X3) e. T(X₁,X2₁X3)= (-X₁+3x₂+3x3, −3x₁-x₂+4x3,2x₁-x₂ −X3)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let T be a linear transformation from R³ into R³. Find T-1 T(x1x₂x3) = (2x1-X3, X₁ + X₂ X3, X2-3X3) T(X₁₁X₁₁X3) = (2x₁+x₂ −X3, −3x₁+6x₂−x3, −X₁+2×₂-2x3) b. T(x1x2x3) = (2x₁ + x₂ -2X3, X₂-X3, X1 + X3) c. T(x₁,x₂₁x3) = (2x₁ + x₂ -2X3, X₂-X3, -X₁ + X3) d. T(x1,x2x3) = (4x₁-2×₂-X3, X₁-X₂, −3x₁+2x₂ + x3) T(X₁, X₂2₁×3) = (-x₁ + 3x₂ + 3x3, −3x₁-x₂ + 4x3,2x₁ − ×2 −X3) a. e.
Transcribed Image Text:Let T be a linear transformation from R³ into R³. Find T-1 T(x1x₂x3) = (2x1-X3, X₁ + X₂ X3, X2-3X3) T(X₁₁X₁₁X3) = (2x₁+x₂ −X3, −3x₁+6x₂−x3, −X₁+2×₂-2x3) b. T(x1x2x3) = (2x₁ + x₂ -2X3, X₂-X3, X1 + X3) c. T(x₁,x₂₁x3) = (2x₁ + x₂ -2X3, X₂-X3, -X₁ + X3) d. T(x1,x2x3) = (4x₁-2×₂-X3, X₁-X₂, −3x₁+2x₂ + x3) T(X₁, X₂2₁×3) = (-x₁ + 3x₂ + 3x3, −3x₁-x₂ + 4x3,2x₁ − ×2 −X3) a. e.
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